La utilidad diaria proveniente de la venta de árboles en el departamento de jardinería de una tienda está dada por U(x)=-x^2+18x+144, donde x es el número de los árboles vendidos. a) ¿Cuántos árboles deben venderse para que la utilidad sea máxima?
b) ¿Cuál es la utilidad máxima que puede obtenerse por la venta de árboles?
c) ¿Cuántos árboles deben de venderse para que no haya ganancia, ni pérdidas (utilidad igual a cero u(x) = 0)?

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?

What properties allow transformation to be used as a problem solving tool

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